Least Common Multiple of 310417 and 310424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 310417 and 310424 the smallest integer that is 96360886808 that is divisible by both numbers.

Least Common Multiple (LCM) of 310417 and 310424 is 96360886808.

LCM(310417,310424) = 96360886808

LCM of 310417 and 310424

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 310417 and 310424

LCM of 310417 and 310424 is 96360886808

Least common multiple can be found by multiplying the highest exponent prime factors of 310417 and 310424. First we will calculate the prime factors of 310417 and 310424.

Prime Factorization of 310417


43 310417
7219 7219
1

Prime factors of 310417 are 43,7219. Prime factorization of 310417 in exponential form is:

310417 = 431×72191

Prime Factorization of 310424


2 310424
2 155212
2 77606
38803 38803
1

Prime factors of 310424 are 2,38803. Prime factorization of 310424 in exponential form is:

310424 = 23×388031

Now multiplying the highest exponent prime factors to calculate the LCM of 310417 and 310424.

LCM(310417,310424) = 23×431×72191×388031
LCM(310417,310424) = 96360886808

Factors of 310417

List of positive integer factors of 310417 that divides 310417 without a remainder.

1, 43, 7219, 310417

Factors of 310424

List of positive integer factors of 310424 that divides 310424 without a remainder.

1, 2, 4, 8, 38803, 77606, 155212, 310424

Least Common Multiple of 310417 and 310424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310417 and 310424, than apply into the LCM equation.

GCF(310417,310424) = 1
LCM(310417,310424) = ( 310417 × 310424) / 1
LCM(310417,310424) = 96360886808 / 1
LCM(310417,310424) = 96360886808

Properties of LCM 310417 and 310424

(i) The LCM of 310424 and 310417 is associative

LCM of 310417 and 310424 = LCM of 310424 and 310417

Related Least Common Multiples of 310417

Related Least Common Multiples of 310424

Frequently Asked Questions on LCM of 310417 and 310424

1. What is the LCM of 310417 and 310424?

Answer: LCM of 310417 and 310424 is 96360886808.

2. What are the Factors of 310417?

Answer: Factors of 310417 are 1, 43, 7219, 310417. There are 4 integers that are factors of 310417. The greatest factor of 310417 is 310417.

3. What are the Factors of 310424?

Answer: Factors of 310424 are 1, 2, 4, 8, 38803, 77606, 155212, 310424. There are 8 integers that are factors of 310424. The greatest factor of 310424 is 310424.

4. How to Find the LCM of 310417 and 310424?

Answer:

Least Common Multiple of 310417 and 310424 = 96360886808

Step 1: Find the prime factorization of 310417

310417 = 43 x 7219

Step 2: Find the prime factorization of 310424

310424 = 2 x 2 x 2 x 38803

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 96360886808 = 2 x 2 x 2 x 43 x 7219 x 38803

Step 4: Therefore, the least common multiple of 310417 and 310424 is 96360886808.